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Stochastic modeling: The impact of chance

Odo Diekmann, Hans Heesterbeek, and Tom Britton

in Mathematical Tools for Understanding Infectious Disease Dynamics

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691155395
eISBN:
9781400845620
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691155395.003.0003
Subject:
Biology, Disease Ecology / Epidemiology

This chapter defines a stochastic counterpart to the homogeneous deterministic epidemic model introduced in Chapter 1. The model considers a homogeneous community of individuals that mix uniformly, ... More


Inference, or how to deduce conclusions from data

Odo Diekmann, Hans Heesterbeek, and Tom Britton

in Mathematical Tools for Understanding Infectious Disease Dynamics

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691155395
eISBN:
9781400845620
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691155395.003.0005
Subject:
Biology, Disease Ecology / Epidemiology

This chapter describes methods for making inferences about key epidemiological parameters from available data. The chapter presents the powerful statistical method called maximum-likelihood (ML) ... More


A brief guide to computer intensive statistics

Odo Diekmann, Hans Heesterbeek, and Tom Britton

in Mathematical Tools for Understanding Infectious Disease Dynamics

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691155395
eISBN:
9781400845620
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691155395.003.0015
Subject:
Biology, Disease Ecology / Epidemiology

Chapters 5, 13 and 14 presented methods for making inference about infectious diseases from available data. This is of course one of the main motivations for modeling: learning about important ... More


Age structure

Odo Diekmann, Hans Heesterbeek, and Tom Britton

in Mathematical Tools for Understanding Infectious Disease Dynamics

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691155395
eISBN:
9781400845620
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691155395.003.0009
Subject:
Biology, Disease Ecology / Epidemiology

This chapter elaborates on the special case of age structure. Especially in the context of infectious diseases among humans, “age” is often used to characterize individuals. Partly this reflects our ... More


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